can anyone help me with this problem You decide to verify Newton\'s second law o

Question

can anyone help me with this problem

You decide to verify Newton's second law of motion, sigma _i F^rightarrow _i = ma^rightarrow, in the frictionless system shown below. Assume that the pulley has a negligible mass. You start by keeping the total mass that's being accelerated constant while varying the force doing the accelerating. Using the variables shown in the figure,  determine an equation that predicts the slope of your data's best-fit line when you plot a^rightarrow vs. M_2. Compare your equation to the equation of a line (y = mx + b) by identifying y, m, x, and b. You next use a constant force to accelerate different masses. Determine an equation that predicts the slope of your data's best-fit line when you plot a^rightarrow vs. (1/M_1 + M_2). Compare your equation to the equation of a line (y = mx + b) by identifying y, m, x, and b.

Explanation / Answer

a.)

for block M2 , force equation is given as

M2g - T = M2 a                                eq-1

for block M1 , force equation is given as

T = M1 a                                            eq-2

adding eq-1 and eq-2

M2g - M1 a = M2 a

a = M2g /(M1 + M2)

y = m x + c

hence y = a

m = g/(M1 + M2)

x = M2

c = 0

slope = g/(M1 + M2)

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